On the asymptotic solutions of boundary value problems for a class of systems of nonlinear differential equations (I)

被引：1

作者：

Jiang, FR ^{[1
]}

机构：

[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2001年 / 22卷 / 03期

关键词：

system of nonlinear differential equations; boundary value problems; asymptotic solution;

D O I：

10.1023/A:1015554303215

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new method is applied to study the asymptotic behavior of solutions of boundary value problems for a class of systems of nonlinear differential equations u" = nu, epsilon nu" + f(x, u, u')nu' - g(x, u, u') nu = 0 (0 < epsilon much less than 1). The asymptotic expansions of solutions are constructed, the remainders are estimated. The former works are improved and generalized.

引用

页码：282 / 293

页数：12

共 6 条

[1] APPLICATIONS OF MAXIMUM PRINCIPLE TO SINGULAR PERTURBATION PROBLEMS [J].

DORR, FW ;

PARTER, SV ;

SHAMPINE, LF .

SIAM REVIEW, 1973, 15 (01) :43-88

[2] SINGULAR PERTURBATIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS WITH TURNING POINTS [J].

DORR, FW ;

PARTER, SV .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1970, 29 (02) :273-&

[3] REFINED APPROXIMATIONS OF THE SOLUTIONS OF A COUPLED SYSTEM WITH TURNING-POINTS [J].

HARRIS, WA ;

SHAO, S .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 92 (01) :125-144

[4] ASYMPTOTIC ANALYSIS OF MODEL PROBLEMS FOR A COUPLED SYSTEM [J].

HOWES, FA ;

SHAO, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (09) :1013-1024

[5]

JIANG FR, 1987, SCI SIN A-MATH P A T, V30, P588

[6]

Jiang FR, 1981, APPL MATH MECH, V2, P505, DOI 10.1007/BF01895454

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